determine the rate of change for the graph from 2014 to 2015:____ students per year​

Answer: 16

Step-by-step explanation:

[tex]n^2-(n+a)(n-a)=\\n^2-(n^2-a^2)=\\n^2-n^2+a^2=\\a^2[/tex]

[tex]326541829^2-326541833*326541825=\\32654129^2-(32654129+4)(326541129-4)=\\4^2=\\4*4=\\16[/tex]

The two representations which are considered to be only partial representations include the following: D. the graph and the table.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In this scenario, the following are complete representations of the same data because they are valid for all possible x values:

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Answer:

Method 1 is distribution of the -1/2 to 5x and -9. Method 2 is simplification by multiplying -1/2 to both sides of the equation.

Step-by-step explanation:

Method 1:                                   Method 2:

[tex]-\frac{1}{2} (5x-9)=17[/tex]                         [tex]-\frac{1}{2} (5x-9)=17[/tex]

[tex]-\frac{1}{2}[/tex](5x-9)=17                                [tex]-\frac{1}{2}[/tex](5x-9)=17                                

[tex]-\frac{1}{2}[/tex]*5x-([tex]-\frac{1}{2}[/tex]*9)=17                         [tex]-\frac{1}{2}[/tex]*(-2)(5x-9)=17*(-2)  

[tex]-\frac{5}{2}[/tex]x+([tex]\frac{1}{2}[/tex]*9)=17                               5x-9=-34

[tex]-\frac{5}{2}[/tex]x+9/2=17                                5x-9+9=-34+9

([tex]-\frac{5}{2}[/tex]x+9/2=17)*2                           5x=-25

-5x+9=34                                    5x/5=-25/5

-5x+9-9=34-9                              x=-5

-5x=25

-5x/(-5)=25/(-5)

x=-5

Orio and Ted buy an equal number of comic books every month. Orio has 9 more comic books than Ted.

What are a definition and an example of a linear equation?

The following equation shows the number of comic books, y, that Orio has after x months:

y = 2x + 15

Using the equation y=mx+b to find Orio's number of comic books, we can plug 2 months to substitute for the variable x.

y = 2(2) + 15

y = 4+15,

y = 19.

We know Ted has 10 comics after 2 months from the graph.

19-10= 9

Therefore, Orio has 9 more comic books than Ted.

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The complete question is -

Orio and Ted buy an equal number of comic books every month. The following equation shows the number of comic books, y, that Orio has after x months: y = 2x + 15 The following graph shows the number of comic books, y, that Ted has after x months: Graph shows Months on x axis and Number of Comic Books on y axis. The scale on x axis is shown from 0 to 5 at increments of 1. The scale on y axis is shown from 0 to 14 at increments of 2. The title of the graph is Teds Comic Books. A straight line is shown which joins the ordered pair 0, 6 and 4, 14 After 2 months, how many more comic books does Orio have than Ted?

Answer: Yes it is rational number because it has a terminating decimal expansion

Step-by-step explanation:

Define Rational number:

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Yes it is rational number because it has a terminating decimal expansion.

7/2=3.5

Define Integer:

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14.

all integers between -7 and 2 in increasing order are:

-6,-5,-4,-3,-2,-1,0 and 1.

since, it has to be in increasing order -6 will come first and 1 at the last.

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Answer: f(1)=21

Step-by-step explanation:

f(x-1)=x³+3x²-3x+7

f(x-1)=(x-1+1)³+3(x-1+1)²-3(x-1+1)+7

f(1)=(1+1)³+3(1+1)²-3(1+1)+7

f(1)=(2)³+3(2)²-3(2)+7

f(1)=8+3(4)-6+7

f(1)=8+12+1

f(1)=21

Answer:

3.) Obtuse  &. 4.) Acute. ????

Step-by-step explanation:

Answer:

3. obtuse

4. acute

Step-by-step explanation:

Hope this helps

Based on the corresponding angles theorem, the value of x is: 64°.

When two angles that are formed by a transversal and two parallel lines lie in relative position to each other on each of the parallel lines, they are called corresponding angles. According to the corresponding angles theorem, both angles are congruent to each other.

Angle x and 64 degrees are corresponding angles. They are therefore congruent to each other.

Thus, x = 64° [corresponding angles theorem]

In summary, based on the corresponding angles theorem, the value of x is: 64°.

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Answer:

-3

Step-by-step explanation:

Taking out 3 would give you a negative number

Answer:

it's true, not false.

Step-by-step explanation:

it's true, not false.

The compound inequality to determine the Fahrenheit temperature range is given by  [tex]-40 < \frac{5}{9}(F-32) < 125[/tex] .

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

Inequality is represented by:

A compound inequality is of the form : a < x < b implies that the value of x lies between the values of a and b.

According to the question if temperature is denoted in Celsius the inequality can be written as : -40° < °C < 125°

Now we know that the relation between C and F can be written as

[tex]C=\frac{5}{9}(F-32)[/tex]

Therefore the required inequality will be of the form:

[tex]-40 < \frac{5}{9}(F-32) < 125[/tex]

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Answer:

$ 33.33

Step-by-step explanation:

can you make me brainliest pls

Answer:

I may have mixed up the meaning of the variables...

Step-by-step explanation:

Every additional 1 card sold, price decrease $0.05 Known point, (6, 280). x is price, p is ... number of cards sold.

Answer:

[tex] \sf \large \: \frac{ - 263}{4} [/tex]

Step-by-step explanation:

5(9/12−14)+0.5

=5(3/4−14)+0.5

=5(−53/4)+0.5

=−265/4+0.5

=−263/4

Answer:

6.0 ounces

Step-by-step explanation:

========================================================

Explanation:

15 - 2.5x is the same as 15 + (-2.5)x

Then we can swap the terms to get -2.5x+15

Therefore, the original equation is the same as -2.5x+15 = 40

To solve this equation, we follow PEMDAS in reverse. So instead of starting with the "P", we start with the "S". There's no subtraction operations to undo, so we move onto the "A". There is an additional operation to undo, which is the +15

To undo the +15, we subtract 15 from both sides

-2.5x+15 = 40

-2.5x+15-15 = 40-15

-2.5x = 25

The next step after this would be to divide both sides by -2.5 to undo the multiplication. The -2.5x means "-2.5 times x".

We can actually deduce here that the biggest advantage of correlational research is: The use of important variables in a real-world setting.

A correlational research is actually known to be the research that investigates relationships between two variables or more. It does this without the researcher trying to manipulate or control any of the variables.

Correlational research is known to be a non-experimental type of quantitative research. In this research, the researcher assesses the statistical relationship that exists between the variables.

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Answer:

1/7

Step-by-step explanation:

y = -7x - 1 so slope is -7

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -7 is 1/7

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-7}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

thus a line perpendicular to that slope will have a slope of

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-7}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-7}\implies {\LARGE \begin{array}{llll} \cfrac{1}{7} \end{array}}}}[/tex]

The range of the average cost function of a cell phone that has an initial and monthly costs $400 and $50 is r:(50, 400)

Initial price for the cell phone = $400

Charges per month after purchase = $50

The rational function representing the average monthly cost = c(t)

Required; The range of the average monthly cost function, c(t)

Solution:

The total cost of owning the cell phone, C, is therefore;

Where;

∆t = The number of months after purchase

The average monthly cost is therefore;

[tex]c(t) = \frac{C}{ \Delta t} [/tex]

At ∆t ≈ 0, we have;

C ≈ 400

The cost for the month at ∆t ≈ 0, is therefore, c(t) = $400

At ∆t ≈ ∞, we have;

Therefore;

[tex] \lim\limits_{∆t→∞} c(t) = \frac{400+ 50× ∆t}{ ∆t} ≈ 50[/tex]

Which gives;

The range of c(t) is (50, 400)

The correct option is therefore;

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Answer:  x = 12

Step-by-step explanation:

1) Convert mixed numbers into improper fractions: [tex]21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}[/tex]

New equation written as: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}[/tex]

2) [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}[/tex]

3) Add the numbers 65 + 7 = 72: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}[/tex]

4) Divide 72/3 = 24: [tex]\frac{5}{3}x+\frac{1}{3}x=24[/tex]

5) Multiply both sides by 3. Note: * = multiply: [tex]\frac{5}{3}x*3+\frac{1}{3}x*3=24*3[/tex]

6) Simplify: 6x = 72

7) Divide both sides by 6: [tex]\frac{6x}{6}=\frac{72}{6}[/tex]

x = 12

The required answers are,

a. The terms - 5x, 27, 9, -7

b. The coefficients - 5 and 2

c. The constants - 9 and -7

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is 5x + 2y + 9 − 7

Now the terms in the equation are 5x, 27, 9, -7

Therefore,

Terms = 5x, 27, 9, -7

Now coefficient is a number or any symbol representing a constant value that is multiplied by the variable.

So the variables in the given expressions are x and y.

And their multiples are 5 and 2, 5 is in multiplication of x and 2 is in multiplication of y.

Thus, coefficients are, 5 and 2

or, Coefficients = 5 and 2

Now th constants are the numbers that are not in multiplication with the variable. Thus, their value remains unchanged.

So in the given expression 9 and -7 are the constants that are not in multiplication with the variables.

Thus,

Constants =  9 and -7

Hence we get,

Terms = 5x, 27, 9, -7

Coefficients = 5 and 2

Constants =  9 and -7

Thus, the required answers are,

a. The terms -5x, 27, 9, -7

b. The coefficients - 5 and 2

c. The constants - 9 and -7

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Answer:

2

Step-by-step explanation:

MAD stands for mean absolute deviation.
The larger the MAD, the more spread out the data set is.

This means that Jason’s grades must vary more.

35, ∠2 and ∠4 are alternate interior angles, so m∠2 = m∠4.

What is alternate interior angles?

Given

           m∠4=35

From the image given, angle 2 and angle 4 lie on opposite side of the line that intercepts the two parallel lines, AB and CD. Angle 2 and angle 4 both lie within the parallel lines.

Therefore, ∠2 and ∠4  are alternate interior angles.

Thus,

m ∠2 = m∠4 (alternate interior angles theorem)

since m∠4 = 35°

therefore m∠2 = 35°

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Answer:

2x^2 + 8x

Step-by-step explanation:

Area of triangle: base x height / 2

So: 2x(2x+8)/2

We cancel 2 so:

x(2x+8)

then = 2x^2 + 8x

We're given:

The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.

Therefore, to get each the next two terms, we have to multiply the previous term by -3.

Therefore, to get each the next two terms, we have to multiply the previous term by -3.